Timothy C. Burness

activity

20132026

most citedOn the commuting probability of p-elements in a finite group

12 citations · 48 across the 40 of their papers we have counts for

collaborators

Showing 2014 · math.GRShow all

4 papers · 2 filters

math.GR2014

On irreducible subgroups of simple algebraic groups

Timothy C. Burness, Claude Marion, Donna M. Testerman

Let $G$ be a simple algebraic group over an algebraically closed field $K$ of characteristic $p ⩾ 0$ , let $H$ be a proper closed subgroup of $G$ and let $V$ be a nontrivial…

math.GR2014

Primitive permutation groups and derangements of prime power order

Timothy C. Burness, Hung P. Tong-Viet

Let $G$ be a transitive permutation group on a finite set of size at least $2$ . By a well known theorem of Fein, Kantor and Schacher, $G$ contains a derangement of prime power orde…

math.GR2014★ 8 cited

On the prime graph of simple groups

Timothy C. Burness, Elisa Covato

Let $G$ be a finite group, let $π (G)$ be the set of prime divisors of $∣ G ∣$ and let $Γ (G)$ be the prime graph of $G$ . This graph has vertex set $π (G)$ , and two vertices $r$ and $s$ …

math.GR2014

Derangements in primitive permutation groups, with an application to character theory

Timothy C. Burness, Hung P. Tong-Viet

Let $G$ be a finite primitive permutation group and let $κ (G)$ be the number of conjugacy classes of derangements in $G$ . By a classical theorem of Jordan, $κ (G) ⩾ 1$ . In t…